The disclosed process includes the successive stages of providing a substrate comprising a dielectric layer; forming a first layer of block copolymers on a part of the dielectric layer, so that the dielectric layer exhibits free zones with a random spatial distribution; etching the free zones, so as to structure the dielectric layer; removing the first layer of block copolymers; forming a first electrode on the structured dielectric layer; forming a memory layer, of resistive memory type, on the first electrode; forming a second electrode on the memory layer; forming a second layer of block copolymers on a part of the second electrode, so that the second electrode exhibits free zones with a random spatial distribution; etching the free zones, so as to structure the second electrode; and removing the second layer of block copolymers.